Since the vertex is located outside of the triangle, refer to the formula
Angle = Ba - Sa
———
2
(Ba = Big Arc, Sa = Small arc)
So just fill in the missing pieces
22=125-x
———
2
X=81
Answer:
98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate is 0.373±0.065, that is between 0.308 and 0.438
Step-by-step explanation:
Confidence Interval can be calculated using p±ME where
- p is the sample proportion of 300 union members in New York State who favor the Republican candidate ()
- ME is the margin of error from the mean
and margin of error (ME) around the mean can be found using the formula
ME= where
- z is the corresponding statistic in 98% confidence level (2.33)
- p is the sample proportion (
- N is the sample size (300)
Then ME=[tex]\frac{2.33*\sqrt{0.373*0.627}}{\sqrt{300} }[/tex≈0.065
98% confidence interval is 0.373±0.065
Answer:
11,17
Step-by-step explanation:
First method:
factor 187 into 11*17, both of which are natural numbers, and difference is 6, so satisfies conditions for the answers.
Second method:
Product and difference: xy=p, x-y=6, half the difference is 3.
An approximation for the average between x and y can be found by taking the square root of the product p = 187
sqrt(187)=13.7, so we can try (14-3)(14+3) = 11*17=187.
Note: since sqrt(187) is always less than x*y, we try the next greater natural number (14) to start.
Answer:
Step-by-step explanation:
⅗
Answer:
Both expressions are equal. One expression cannot be greater than the others.
Step-by-step explanation:
The given expressions are:
A: (x + y)
B: (x) + (y)
<h3>Let x = a and y = b</h3>
A: (a+b) = a+b
B: (a)+(b) = a+b
<h3>Let x = -a and y = -b</h3>
A: (-a+ (-b)) = -a-b
B: (-a)+(-b) = -a-b
<h3 /><h3>Let x = a and y = -b</h3>
A: (a+(-b)) = a-b
B: (a)+(-b) = a-b
<h3 /><h3>Let x = -a and y = b</h3>
A: ((-a)+b) = -a+b
B: (-a)+(b) = -a+b
We can see the pattern that both expressions are always equal to each other, no matter what value of x and y you plug in. One expression cannot be greater than the other